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Finding the Fourth Proportional to 27,878.56, 41,817.76 and 7,101.92

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Solution

The fourth proportional to 27,878.56, 41,817.76 and 7,101.92 is: 10,652.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,878.56 : 41,817.76 = 7,101.92 : x
  2. Step 2: Convert to fraction form
    27,878.56/41,817.76 = 7,101.92/x
  3. Step 3: Cross multiply
    27,878.56x = 41,817.76 × 7,101.92
  4. Step 4: Simplify right side
    27,878.56x = 296,986,386.10
  5. Step 5: Solve for x
    x = 296,986,386.10/27,878.56
  6. Step 6: Final answer
    x = 10,652.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.